Finding the Third Proportional to 31,747 and 50,228

Step by Step Solution

1. Step 1: Write the proportion equation
   31,747 : 50,228 = 50,228 : x
2. Step 2: Convert to fraction form
   31,747/50,228 = 50,228/x
3. Step 3: Cross multiply
   31,747x = 50,228 × 50,228
4. Step 4: Simplify right side
   31,747x = 2,522,851,984
5. Step 5: Solve for x
   x = 2,522,851,984/31,747
6. Step 6: Final answer
   x = 79,467.41